In the Game of Roulette, a Wheel Spins and a Ball

question 144

Multiple Choice

In the game of roulette, a wheel spins and a ball lands at random in one of an equal number of black and red slots. Because the ball landed in a red slot four times in a row, Cal believes it will land in a black slot on the next spin. Which MOST accurately describes the validity of Cal's belief?

• A) Cal is most likely correct because the law of averages should apply.
• B) Cal is most likely correct because the probability of a ball landing in a red slot increases for any spin that immediately follows a black outcome.
• C) Cal is incorrect in believing that random outcomes alternate more than they really do.
• D) Cal is incorrect because the ball would need to land in the red slot several more times in a row before increasing its likelihood of landing in a black slot.

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